Question

Delta Corporation has a bond issue outstanding with an annual coupon rate of 7% and 20 years remaining until maturity. The par value of the bond is $1,000 and present market conditions justify an 11% required rate of return. What is the bond’s current yield?

Answer 1

Current yield is 10.3%

Step-by-step explanation:

Coupon payment = 1000 x 7% = $70 annually

Number of periods = n = 20 years

Yield to maturity = 11% annually

Price of bond is the present value of future cash flows, to calculate Price of the bond use following formula

Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]

Price of the Bond = $70 x [ ( 1 - ( 1 + 11% )^-20 ) / 11% ] + [ $1,000 / ( 1 + 11% )^20 ]

Price of the Bond = $557.43 + $124.03 = $681.46

Current yield is the ration of coupon payment to the price of the bond.

Current Yield = Coupon Payment / Price of Bond = $70 / 681.46 = 0.1027 = 10.3%